8209187668224 has 405 divisors, whose sum is σ = 24849206240551. Its totient is φ = 2695550054400.

The previous prime is 8209187668211. The next prime is 8209187668259. The reversal of 8209187668224 is 4228667819028.

The square root of 8209187668224 is 2865168.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7286112518400 + 923075149824 = 2699280^2 + 960768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41671003294 + ... + 41671003490.

Almost surely, 2^{8209187668224} is an apocalyptic number.

8209187668224 is the 2865168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8209187668224

8209187668224 is an abundant number, since it is smaller than the sum of its proper divisors (16640018572327).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8209187668224 is an frugal number, since it uses more digits than its factorization.

8209187668224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 8209187668224 in words is "eight trillion, two hundred nine billion, one hundred eighty-seven million, six hundred sixty-eight thousand, two hundred twenty-four".